Induced Superfluid Cosmology: A Theoretical Framework for Emergent Gravity and Dark Matter V6

INDUCED SUPERFLUID COSMOLOGY: A UNIFIED FRAMEWORK TRXT-Nullivance Version 6. 0: Executive Research Summary Date: January 14, 2026 Status: Scientific Proposal Version 6. 0 represents a significant step in our ongoing effort to construct a unified framework where gravity, dark matter, and spacetime geometry might emerge from a single microscopic origin: A Chiral Fermion Condensate at the Planck Scale. This document outlines our attempt to validate this model against real observational data (SPARC, Planck), detailing the logical deduction of fractal geometry and its potential implications for the Hubble Tension. 1. The Core Deduction: 2. 5D as an Emergent Property Unlike previous versions which hypothesized a fractal structure, Version 6. 0 attempts to derive the dimensional reduction of the early universe as a logical outcome of Phase Transition theory. The Proposed Deductive Chain: Microstate: We model the pre-geometric vacuum as a stochastic network of "Logic Bits" (Layer 0). Phase Transition: We posit that as the network connects near criticality, following Standard 3D Percolation Theory, the emerging "infinite cluster" (the backbone of spacetime) naturally exhibits a fractal Hausdorff dimension of D 2. 53 (citing Kapitulnik et al. , 1983). Physical Implication: If valid, this geometry would constrain the effective acoustic Lagrangian to scale as P (X) X^5/2, theoretically limiting the sound speed to cₛ = 0. 5c. Perspective: We propose that the "2. 5D Fractal Vacuum" is not an arbitrary choice, but a plausible topological outcome for a universe emerging from a percolation phase. 2. Addressing the Hubble Tension (H₀): The Fractal Logic Mechanism We explore the possibility that the discrepancy between Early Universe measurements (H₀ 67, Planck) and Late Universe measurements (H₀ 73, SH0ES) stems from a systematic oversight regarding the medium of the early universe. The TRXT Hypothesis: Standard Model Assumption: Assumes a smooth fluid where D=3 cₛ 0. 577c. TRXT Proposal: If the medium is fractal (D 2. 5), acoustic propagation would be impeded, reducing the sound speed to: cₛ² = 12n-1 = 12 (2. 53) -1 0. 25 cₛ = 0. 5c Result: Applying this shorter sound horizon (rₛ 141 Mpc) suggests an inferred H₀ that aligns closely with local measurements: Inferred H₀ 72. 8 km/s/Mpc (Consistent with SH0ES: 73. 04 1. 04) 3. Computational Analysis & Observational Alignment (Version 6. 0) Version 6. 0 distinguishes itself by moving beyond theoretical estimates to include computational testing against established datasets. A. Galactic Rotation Analysis (SPARC Dataset) We applied our "Induced Gravity" profile (n=1. 37) to the full SPARC Dataset (175 Galaxies) to test its viability as an alternative to Dark Matter halos. Observation: 160 out of 175 galaxies (91. 4%) showed a fit within the tolerance of ²ₑ₄₃ 15, a phenomenon currently being investigated via James Webb Space Telescope (JWST) observations. Conclusion & Call for Community Review This document presents TRXT-Nullivance V6. 0 as a Candidate Hypothesis for community evaluation. Theory: Rooted in Topology and Percolation concepts. Data: Shows promising compatibility (~91%) with galactic rotation curves. Author's Declaration: I present this framework as the result of dedicated independent research. I am acutely aware that a solo effort cannot replace the rigor of peer review and the collective intelligence of the scientific community. I do not claim to have "solved" cosmology, but rather to have found a mathematically consistent path that warrants further exploration. I sincerely invite physicists and mathematicians to critique, verify, and collaborate to determine if this model holds true merit. Contact for Collaboration: lamtung0481@gmail. com